Details

sample152.0ms

Algorithm

intervals

Results

33.0ms	302×	body	80	nan
32.0ms	558×	pre	80	true
32.0ms	134×	body	160	valid
19.0ms	54×	body	320	valid
8.0ms	68×	body	80	valid

simplify122.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	93
7	93
6	92
5	90
4	82
3	66
2	40
1	21
0	12

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 42.4b

localize25.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (* b b) (* (* 3 a) c))
0.3b	(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
0.3b	(* (* 3 a) c)
36.4b	(- (sqrt (- (* b b) (* (* 3 a) c))) b)

rewrite181.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
14×	`add-cbrt-cube` `add-exp-log`
13×	`*-un-lft-identity`
9×	`pow1`
8×	`add-log-exp`
7×	`add-cube-cbrt`
6×	`times-frac` `associate-/l*` `difference-of-squares`
4×	`prod-exp` `cbrt-unprod` `insert-posit16`
3×	`flip3--` `associate-r` `pow-prod-down` `sqrt-prod` `flip--` `distribute-lft-out--`
2×	`cbrt-undiv` `sub-neg` `diff-log` `div-exp` `associate-/l/`
1×	`clear-num` `associate-/r` `frac-2neg` `div-sub` `associate-l` `-commutative` `div-inv`

Counts

4 → 79

Calls

4 calls:

17.0ms	(- (* b b) (* (* 3 a) c))
90.0ms	(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
33.0ms	(* (* 3 a) c)
39.0ms	(- (sqrt (- (* b b) (* (* 3 a) c))) b)

series370.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(- (* b b) (* (* 3 a) c))
154.0ms	(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
27.0ms	(* (* 3 a) c)
124.0ms	(- (sqrt (- (* b b) (* (* 3 a) c))) b)

simplify1.5s

Counts

91 → 91

Iterations

Iter	Nodes
done	5001
2	1457
1	423
0	158

prune578.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 4.6b

localize6.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Iter	Nodes
done	0
0	0

prune56.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 4.6b

localize15.0ms

Local error

Found 3 expressions with local error:

0.3b	(/ (* a c) b)
0.3b	(* -3/2 (/ (* a c) b))
0.4b	(/ (* -3/2 (/ (* a c) b)) (* 3 a))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-cbrt-cube` `add-exp-log`
17×	`prod-exp` `cbrt-unprod`
16×	`cbrt-undiv` `div-exp`
10×	`add-sqr-sqrt`
8×	`*-un-lft-identity` `add-cube-cbrt`
7×	`times-frac` `associate-r`
5×	`pow1`
4×	`associate-/r*`
3×	`associate-l` `insert-posit16` `div-inv` `add-log-exp`
2×	`clear-num` `frac-2neg` `associate-r/` `associate-/l`
1×	`pow-prod-down` `*-commutative` `unswap-sqr` `associate-/l/`

Counts

3 → 81

Calls

3 calls:

18.0ms	(/ (* a c) b)
21.0ms	(* -3/2 (/ (* a c) b))
23.0ms	(/ (* -3/2 (/ (* a c) b)) (* 3 a))

series120.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(/ (* a c) b)
51.0ms	(* -3/2 (/ (* a c) b))
34.0ms	(/ (* -3/2 (/ (* a c) b)) (* 3 a))

simplify1.4s

Counts

90 → 90

Iterations

Iter	Nodes
done	5010
2	2261
1	382
0	126

prune488.0ms

Pruning

29 alts after pruning (28 fresh and 1 done)

Merged error: 4.5b

localize15.0ms

Local error

Found 3 expressions with local error:

0.3b	(* a (/ c b))
0.3b	(* -3/2 (* a (/ c b)))
0.4b	(/ (* -3/2 (* a (/ c b))) (* 3 a))

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-cbrt-cube` `add-exp-log`
21×	`prod-exp` `cbrt-unprod`
17×	`add-sqr-sqrt`
14×	`associate-r`
12×	`cbrt-undiv` `*-un-lft-identity` `div-exp` `add-cube-cbrt`
11×	`times-frac`
10×	`pow1`
6×	`associate-l`
5×	`associate-*r/`
4×	`pow-prod-down`
3×	`insert-posit16` `add-log-exp`
2×	`*-commutative` `div-inv` `unswap-sqr`
1×	`clear-num` `associate-/r` `frac-2neg` `associate-/l` `associate-/l/`

Counts

3 → 86

Calls

3 calls:

9.0ms	(* a (/ c b))
40.0ms	(* -3/2 (* a (/ c b)))
31.0ms	(/ (* -3/2 (* a (/ c b))) (* 3 a))

series92.0ms

Counts

3 → 9

Calls

3 calls:

30.0ms	(* a (/ c b))
40.0ms	(* -3/2 (* a (/ c b)))
22.0ms	(/ (* -3/2 (* a (/ c b))) (* 3 a))

simplify1.4s

Counts

95 → 95

Iterations

Iter	Nodes
done	5292
2	2123
1	413
0	142

prune326.0ms

Pruning

29 alts after pruning (27 fresh and 2 done)

Merged error: 4.5b

regimes811.0ms

Accuracy

9.4% (6.1b remaining)

Error of 11.2b against oracle of 5.1b and baseline of 11.8b

bsearch27.0ms

Steps

Iters	Range		Point
2	0.1033833431865932	0.1127640550401266	0.10455593216828488

simplify5.0ms

Iterations

Iter	Nodes
done	33
1	33
0	24

end0.0ms

sample4.9s

Algorithm

intervals

Results

1.2s	4803×	body	160	valid
1.1s	8134×	body	80	nan
916.0ms	16134×	pre	80	true
599.0ms	1413×	body	320	valid
256.0ms	1784×	body	80	valid